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Simplifying (4y + 9)(6y + -1) = 0 Reorder the terms: (9 + 4y)(6y + -1) = 0 Reorder the terms: (9 + 4y)(-1 + 6y) = 0 Multiply (9 + 4y) * (-1 + 6y) (9(-1 + 6y) + 4y * (-1 + 6y)) = 0 ((-1 * 9 + 6y * 9) + 4y * (-1 + 6y)) = 0 ((-9 + 54y) + 4y * (-1 + 6y)) = 0 (-9 + 54y + (-1 * 4y + 6y * 4y)) = 0 (-9 + 54y + (-4y + 24y2)) = 0 Combine like terms: 54y + -4y = 50y (-9 + 50y + 24y2) = 0 Solving -9 + 50y + 24y2 = 0 Solving for variable 'y'. Factor a trinomial. (-9 + -4y)(1 + -6y) = 0Subproblem 1
Set the factor '(-9 + -4y)' equal to zero and attempt to solve: Simplifying -9 + -4y = 0 Solving -9 + -4y = 0 Move all terms containing y to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + -4y = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -4y = 0 + 9 -4y = 0 + 9 Combine like terms: 0 + 9 = 9 -4y = 9 Divide each side by '-4'. y = -2.25 Simplifying y = -2.25Subproblem 2
Set the factor '(1 + -6y)' equal to zero and attempt to solve: Simplifying 1 + -6y = 0 Solving 1 + -6y = 0 Move all terms containing y to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -6y = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -6y = 0 + -1 -6y = 0 + -1 Combine like terms: 0 + -1 = -1 -6y = -1 Divide each side by '-6'. y = 0.1666666667 Simplifying y = 0.1666666667Solution
y = {-2.25, 0.1666666667}
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